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574001940 = 223517896323
BaseRepresentation
bin100010001101101…
…001001100010100
31111000002022122010
4202031221030110
52133421030230
6132542504220
720136636021
oct4215511424
91430068563
10574001940
11275011176
12140295070
1391bc5325
145633a548
15355d49b0
hex22369314

574001940 has 96 divisors (see below), whose sum is σ = 1721139840. Its totient is φ = 142422016.

The previous prime is 574001917. The next prime is 574001941. The reversal of 574001940 is 49100475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 574001898 and 574001907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (574001941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87619 + ... + 93941.

It is an arithmetic number, because the mean of its divisors is an integer number (17928540).

Almost surely, 2574001940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574001940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860569920).

574001940 is an abundant number, since it is smaller than the sum of its proper divisors (1147137900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

574001940 is a wasteful number, since it uses less digits than its factorization.

574001940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 574001940 is about 23958.3375884054. The cubic root of 574001940 is about 831.0703469896.

It can be divided in two parts, 57400 and 1940, that added together give a triangular number (59340 = T344).

The spelling of 574001940 in words is "five hundred seventy-four million, one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 89 102 170 178 204 255 267 340 356 445 510 534 890 1020 1068 1335 1513 1780 2670 3026 4539 5340 6052 6323 7565 9078 12646 15130 18156 18969 22695 25292 30260 31615 37938 45390 63230 75876 90780 94845 107491 126460 189690 214982 322473 379380 429964 537455 562747 644946 1074910 1125494 1289892 1612365 1688241 2149820 2250988 2813735 3224730 3376482 5627470 6449460 6752964 8441205 9566699 11254940 16882410 19133398 28700097 33764820 38266796 47833495 57400194 95666990 114800388 143500485 191333980 287000970 574001940